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Finding the Fourth Proportional to 61.93, 93.28 and 46

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Solution

The fourth proportional to 61.93, 93.28 and 46 is: 69.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.93 : 93.28 = 46 : x
  2. Step 2: Convert to fraction form
    61.93/93.28 = 46/x
  3. Step 3: Cross multiply
    61.93x = 93.28 × 46
  4. Step 4: Simplify right side
    61.93x = 4,290.88
  5. Step 5: Solve for x
    x = 4,290.88/61.93
  6. Step 6: Final answer
    x = 69.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.